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Finding the Fourth Proportional to 1,158.84, 1,729.11 and 1,049.40

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Solution

The fourth proportional to 1,158.84, 1,729.11 and 1,049.40 is: 1,565.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.84 : 1,729.11 = 1,049.40 : x
  2. Step 2: Convert to fraction form
    1,158.84/1,729.11 = 1,049.40/x
  3. Step 3: Cross multiply
    1,158.84x = 1,729.11 × 1,049.40
  4. Step 4: Simplify right side
    1,158.84x = 1,814,528.03
  5. Step 5: Solve for x
    x = 1,814,528.03/1,158.84
  6. Step 6: Final answer
    x = 1,565.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.